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2 years ago

What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10

Mathematics

2 answers:

svp [43]2 years ago

5 0

2.8y + 6 + 0.2y = 5y – 14

Simplify the left side:

3y +6 = 5y-14

Subtract 3y from both sides:

6 = 2y -14

Add 14 to each side:

2y =20

Divide both sides by 2:

y = 20 / 2

y = 10

dlinn [17]2 years ago

3 0

Answer:

D= y=10

Step-by-step explanation:

if you r on e2020

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2 years ago

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Lunna [17]

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) $f(x)=-0.4x+88$

Step-by-step explanation:

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

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Which implies that:

$x=30$ , which means that 30 minutes have passed after the conditioner has started to cool the house

$f(x)=76$ , which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

Here we want to write explicitely a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the hosue is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

$f(x)=mx+q$

where

$q$ is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

$m=\frac{76-88}{30-0}=-0.4$

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2 years ago

mr smith owns a lot of valued at 12000. It is assessed at 80% of it value. how much tax does he pay if the tax rate if 1.5% of t

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Find the assessed amount:

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2 years ago

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